7126210560 has 384 divisors, whose sum is σ = 26920857600. Its totient is φ = 1574830080.

The previous prime is 7126210519. The next prime is 7126210577. The reversal of 7126210560 is 650126217.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6665706 + ... + 6666774.

It is an arithmetic number, because the mean of its divisors is an integer number (70106400).

Almost surely, 2^7126210560 is an apocalyptic number.

7126210560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460428800).

7126210560 is an abundant number, since it is smaller than the sum of its proper divisors (19794647040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7126210560 is a wasteful number, since it uses less digits than its factorization.

7126210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7126210560 is about 84416.8855146884. The cubic root of 7126210560 is about 1924.3595382163.

Adding to 7126210560 its reverse (650126217), we get a palindrome (7776336777).

The spelling of 7126210560 in words is "seven billion, one hundred twenty-six million, two hundred ten thousand, five hundred sixty".